Question

a cone has a radius of 24cm at its base and a slant height of 26 cm . what is the height of the cone?

Answer 1

Hey DevilR !

Answer:

10 cm

Step-by-step explanation:

Given :

Radius of the base of a Right Circular Cone = 24 cm

Slant Height of the Right Circular Cone = 26 cm.

Formula :

l = $\sqrt{h^{2} + r^{2}}$

• Where l is the Slant Height.
• Where h is the Height.
• Where r is the Radius of the base.

[Pythagoras Theorem]

Procedure :

l = $\sqrt{h^{2} + r^{2}}$

l² = h² + r²

⇒ h² = l² - r²

∴ h² = (26 cm)² - (24 cm)²

⇒ h² = 676 cm² - 576 cm²

⇒ h² = 100 cm²

∴ h = 10 cm.

Hence the Height of the Cone = 10 cm.

Thanks !